GCF of 5926/133, 6164/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5926/133, 6164/514 i.e 2/68362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5926/133, 6164/514.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5926/133,6164/514?
Given fractions are 5926/133,6164/514
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5926/133,6164/514, numerators are 5926,6164
Denominators are 133,514
The GCF of 5926,6164 is 2 .
LCM of 133,514 is 68362.
The greatest common factor of 5926/133,6164/514 = [GCF of 5926,6164]/[LCM of 133,514]= 2/68362
Therefore, the GCF of 5926/133,6164/514 is 2/68362.
To find the highest common factor of 5926,6164, we have to find the factors of both numbers and list the highest common factor.
The factors of 5926 are 1, 2, 2963, 5926
The factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164
The HCF of 5926,6164 is 2.
Lets's calculate GCF of 5926,6164
| 2 | 5926, 6164 |
| 2963, 3082 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5926,6164 By Matching Biggest Common Factor Method
Now, list down the factors of 5926
:1,2,2963,5926
Now, list down the factors of 6164
:1,2,4,23,46,67,92,134,268,1541,3082,6164
Greatest Common Factor
We found the factors 5926,6164 . The biggest common factor number is the GCF number.
So the greatest common factor 5926,6164 is 2.
Lets's calculate LCM of 133,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 68362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68362
Therefore, the GCF of Fractions 5926/133,6164/514 is 2/68362
Least Common Multiple of 133,514 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 133,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,514) x common factors =1 x 1 = 1
LCM(133,514) = ( 133 × 514 ) / 1
LCM(133,514) = 68362 / 1
LCM(133,514) = 68362
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FAQs on GCF of Fractions of 5926/133, 6164/514
1. What is the HCF of 5926,6164?
The HCF of 5926,6164 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5926/133, 6164/514?
Answer: GCF of Numerators as per given numbers 5926/133, 6164/514 is
GCF of Numerators i.e. for 5926,6164 is 2
LCM of denominators i.e. for 133,514 is 68362.
Thus, GCF of Fractions is 2/68362.Finally, GCF of Fractions for 5926/133, 6164/514 is 2/68362.